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Introduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2092)

Abstract

Consider a population consisting of individuals of different types and distributed in colonies located in geographic space and assume the population is locally finite. If we consider the relative frequencies of types in the different colonies, then the population in a single colony is described by a probability measure on the type space. Hence at a fixed time the essential features of the population are described by a collection of probability measures on the type space indexed by the sites of the geographic space. The time evolution of the population involves finite population resampling (often called pure genetic drift by biologists), mutation and selection in each colony and in addition migration of individuals between colonies. We shall use the large population limit leading to diffusion models, socalled interacting Fleming–Viot processes with selection and mutation, reviewed later on.

Keywords

  • Droplet Formation
  • Type Space
  • Geographic Space
  • Rare Mutant
  • Spatial Population

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Dawson, D.A., Greven, A. (2014). Introduction. In: Spatial Fleming-Viot Models with Selection and Mutation. Lecture Notes in Mathematics, vol 2092. Springer, Cham. https://doi.org/10.1007/978-3-319-02153-9_1

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